Starting with this link: Breathing modes of a partially filled cylindrical vessel

SW Research Institute paper published first in February of 1962.

NASA declassified: 19 Dec 2007

Interesting effects with the fundamental, and first harmonic modes is where I begin:

(1) tank is mild steel 1/16" wall thickness (or thereabouts), 6" diameter (D), height (h) is about 10", but liquid level is about 0.5 h.

(2) contained liquid is essentially saturated bicarbonate of soda at various temperatures, so density may change somewhat, and there may be a precipitation layer at the bottom of the vessel, where also some anthracite (essentially) is resting.

Here is the question: To find the fundamental vibration frequency for the contained liquid and vessel combined by side wall excitation with a rod connected to a piezoelectric transducer, will the best mean simply be to sweep tune the excitation and observe the modes?

I feel that my ability to calculate and predict the modes is somewhat lacking, as I have not taken the time as yet, to fully absorb the mathematics involved.

I have complete faith that the math can do the job, but I am looking for a fast, and dirty way to get my answer - how to couple in the most vibrational energy to the system.

sloshing modes in carried cylindrical tank

Not quite the same, but I think the equations of motion should still hold for the most part.

## Comments rated to be "almost" Good Answers:

Re: Acoustics of a cylindrical vessel with water solution" by SolarEagle on 08/23/2017 3:41 PM (score 1)Re: Acoustics of a Cylindrical Vessel With Water Solution" by Rixter on 08/26/2017 9:56 AM (score 1)